Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Lesson Plan
EngageNY

Recursive Formulas for Sequences

For Students 9th - 10th Standards
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a instructional activity that uses what class members know about explicit formulas to develop an...
Interactive
Scholastic

Study Jams! Number Patterns

For Students 3rd - 5th Standards
Finding patterns is an essential skill for mathematicians of all ages. Follow along with Zoe as she walks step-by-step through the process of identifying and completing number patterns. Work through the Try It! problems as a whole class...
Lesson Plan
EngageNY

Arithmetic and Geometric Sequences

For Students 9th - 10th Standards
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
Lesson Plan
EngageNY

Modeling from a Sequence

For Teachers 9th - 10th Standards
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Lesson Plan
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Students 8th - 10th Standards
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
Assessment
Concord Consortium

Boards IV

For Students 7th - 9th Standards
Build a connection between algebraic sequences and spreadsheets. Learners examine a specific folding pattern and convert the pattern into a spreadsheet. The goal of the spreadsheet is to produce a sequence of a specific pattern modeled...
Assessment
Inside Mathematics

Hexagons

For Teachers 9th - 12th Standards
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Activity
Noyce Foundation

Tri-Triangles

For Students K - 12th Standards
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Lesson Plan
EngageNY

Successive Differences in Polynomials

For Students 10th - 12th Standards
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
Assessment
Inside Mathematics

Conference Tables

For Teachers 9th - 12th Standards
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
Lesson Plan
EngageNY

Why Stay with Whole Numbers?

For Teachers 9th - 10th Standards
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
Assessment
Concord Consortium

Boards III

For Students 7th - 9th Standards
Learn to visualize mathematical patterns as a folded pattern. Beginning with a visual display, the task encourages pupils to view sequences as a folded table. The pattern of the table then becomes a formula in a spreadsheet that...
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 7

For Students 6th - 9th Standards
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Assessment
Noyce Foundation

Toy Trains

For Teachers 6th - 7th Standards
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
Lesson Plan
Virginia Department of Education

Independent and Dependent Variables

For Students 8th Standards
Investigate the relationship between independent and dependent variables. Individuals begin by identifying independent and dependent variables from different problem situations. Then, using specific guidelines, they create posters...
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Unit Plan
Curated OER

Transformations in the Coordinate Plane

For Teachers 9th - 12th Standards
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Lesson Plan
EngageNY

Analyzing a Data Set

For Teachers 9th - 10th Standards
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
Lesson Plan
Virginia Department of Education

Properties of Operations

For Students 8th Standards
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
Activity
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Oregon Department of Education

Building Number Sense

For Teachers Pre-K - 1st Standards
It's never too early to begin a child's math education. This collection of fun hands-on activities engage youngsters in building their number sense as they learn how to count objects, identify numerals, compare amounts, and much more.